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Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work (AMS Chelsea Publishing)
 
 
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Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work (AMS Chelsea Publishing) [Hardcover]

G. H. Hardy (Author)
4.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

AMS Chelsea Publishing November 25, 1999
Ramanujan occupies a unique place in analytic number theory. His formulas, identities, and calculations are still amazing three-quarters of a century after his death. Many of his discoveries seem to have appeared as if from the ether. His mentor and primary collaborator was the famous G. H. Hardy. Here, Hardy collects twelve of his own lectures on topics stemming from Ramanujan's life and work. The topics include partitions, hypergeometric series, Ramanujan's $\tau$-function and round numbers.

Hardy was the first to recognize the brilliance of Ramanujan's ideas. As one of the great mathematicians of the time, it is fascinating to read Hardy's accounts of their importance and influence. The book concludes with a chapter by chapter overview written by Bruce C. Berndt. In this overview, Berndt gives references to current literature, developments since Hardy's original lectures, and background information on Ramanujan's research, including his unpublished papers.


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Product Details

  • Hardcover: 254 pages
  • Publisher: Chelsea Pub Co (November 25, 1999)
  • Language: English
  • ISBN-10: 0821820230
  • ISBN-13: 978-0821820230
  • Product Dimensions: 9.2 x 6.2 x 0.8 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #1,149,838 in Books (See Top 100 in Books)

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33 of 34 people found the following review helpful:
4.0 out of 5 stars A nice reprint of a valuable book, March 30, 2000
This review is from: Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work (AMS Chelsea Publishing) (Hardcover)
This is a great book for those of you who want to learn the works of the great Indian Mathematician Srinivasa Ramanujan. It was written by G.H.Hardy, who intorduced Ramanujan to the western world of Mathematics. 12 subjects are discussed, as written by Ramanujan, with comments. The layout and printing of the book are excellent. This edition corrected a number of errors of the previous editions. I expected a little more comments by the editors for people less proficient in Number theory. You will need a copy of "An Introduction to Theory of Numbers" by Hardy and Wright, to follow this book. If you want to know more about Ramanujan, some great books are: "The Man who knew infinity: A Life of the Genius Ramanujan" by Robert Kanigel (the best biography of Ramanujan) and "A Mathematician's apology" by GH Hardy et al.
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Inside This Book (learn more)
First Sentence:
I have sent myself a task in these lectures which is genuinely difficult and which, If I were determined to begin by making every excuse for failure, I might present as almost impossible. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalised hypergeometric series, singular moduli, master theorem, singular series, prime number theorem, modular equations, probabilistic number theory, combinatory analysis, congruence properties, modular functions, second notebook, elliptic functions, class invariants, lost notebook, arithmetical function, hypergeometric functions
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Quarterly Journal of Math, London Math, Acta Math, Journal Indian Math, Professor Watson, Royal Soc
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